Eigenvalue Decomposition Approach for Beampattern Synthesis
Keywords:
Array manifold matrix, beampattern synthesis, eigenvalue decomposition, least square method, projection matrixAbstract
The relation between the manifold matrix of the array and the synthesized beampattern is investigated. The synthesized beampattern can be obtained by eigenvalue decomposition of the projection matrix of the array manifold matrix, while the least square error reaches the minimum. For an antenna array whose manifold matrix has been determined, the projection matrix can be derived easily from the array manifold matrix. Then, eigenvalue decomposition of the projection matrix is implemented to obtain the synthesized beampattern. The antenna element excitations can be obtained by an ameliorated least square method. The results of the simulations compared with the traditional least square method show that the matching degree between the targeted beampattern and the synthesized beampattern of the new method is higher and that the new method is more efficient.
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